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Finding the Fourth Proportional to 29,779.84, 44,677.14 and 9,003.34

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Solution

The fourth proportional to 29,779.84, 44,677.14 and 9,003.34 is: 13,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,779.84 : 44,677.14 = 9,003.34 : x
  2. Step 2: Convert to fraction form
    29,779.84/44,677.14 = 9,003.34/x
  3. Step 3: Cross multiply
    29,779.84x = 44,677.14 × 9,003.34
  4. Step 4: Simplify right side
    29,779.84x = 402,243,481.65
  5. Step 5: Solve for x
    x = 402,243,481.65/29,779.84
  6. Step 6: Final answer
    x = 13,507.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.